Théorémes d'existence en optimisation non convexe

DOI10.1080/00036818408839512zbMath0522.49002OpenAlexW2086190408MaRDI QIDQ3672559

Gilles Aubert, Rabah Tahraoui

Publication date: 1984

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818408839512

zbMATH Keywords

existence theoremsnonconvex optimizationconvexification

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Duality theory (optimization) (49N15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (13)

An anti-plane shear problem ⋮ Un problème issu de l'étude numérique d'un fil sans raideur soumis au frottement sec ⋮ Strong compactness in Sobolev spaces ⋮ Théorème d'existence pour des problèmes variationnels non convexes ⋮ Existence of minimizers for vector problems without quasiconvexity condition ⋮ On a classical problem of the calculus of variations without convexity assumptions ⋮ Some remarks about relaxation problems in the Calculus of Variations ⋮ Régularité de la solution d'un problème variationnel. (Regularity of the solution of a variational problem) ⋮ Radially symmetric solutions of a class of problems of the calculus of variations without convexity assumptions ⋮ Théorèmes d'existence en calcul des variations et applications à l'élasticité non linéaire ⋮ New existence results for some nonconvex optimization problems ⋮ Existence theorems for non convex problems ⋮ Sur une équation quasilinéaire d'ordre 2 non elliptique. (On a quasilinear nonelliptic equation of second order)

Cites Work

• Unnamed Item
• A duality theory for some non-convex functions of matrices
• On the anti-plane shear problem in finite elasticity

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